George Bealer

This chapter targets functionalism as the most cogent form of contemporary materialism. In particular, it takes aim at ‘ontic’ or reductive functionalism: a theory that attempts to specify the essences of mental states, in a non-circular fashion, by means of physicalistic functional definitions (i.e., by means of the Ramsification of causal theories of the mind). The chapter points out that functionalism must account for thoughts that have psychological attitudes embedded within them. It effectively sets asides worries that the intensionality of the context of thought renders the argument invalid. It also draws attention to the devastating consequences of the other strategies for avoiding the dilemma. including language-of-thought functionalism. When the language-of-thought theorists attempt to define the content-of relation, they face a dilemma concerning the content of psychological predicates in the language. The language-of-thought theorist must either accept a definitional circularity incompatible with materialism, or resort again to Ramsified definitions that misdescribe the contents of self-conscious thoughts. In addition, such language-of-thought functionalism readily leads to epiphenomenalism. Finally, attempts to avoid the definitional circularity by means of something like a Tarskian hierarchy of distinct psychological attitudes founder on the type-free nature of introspection. The chapter concludes that the only viable functionalism is a non-reductive one that accepts mental properties as ontologically primary, on a par with physical properties.

In the history of epistemology, discussions of the a priori have been bound up with discussions of necessity and analyticity, often in confusing ways. Disentangling these confusions is an essential step in the study of the a priori. This will be the aim of my introductory remarks. The goal of the remainder of the paper will then be to try to develop a unified account of the a priori, dealing with the notions of intuition and a priori evidence, the question of why intuitions quality as evidence, and the question of how they can be a reliable guide to the truth about a priori matters.

This paper has three parts. First, a discussion of our use of intuitions as evidence (reasons) in logic, mathematics, philosophy (hereafter, “the a priori disciplines”). Second, an explanation of why intuitions are evidence. The explanation is provided by modal reliabilism—the doctrine that there is a certain kind of qualified modal tie between intuitions and the truth. Third, an explanation of why there should be such a tie between intuitions and the truth. This tie is a consequence of what, by definition, it is to possess the concepts involved in our intuitions. These three parts form the basis of a unified account of a priori evidence and, in turn, a priori knowledge.

Revised and reprinted; originally in Dov Gabbay & Franz Guenthner (eds.), Handbook of Philosophical Logic, Volume IV. Kluwer 133-251. -- Two sorts of property theory are distinguished, those dealing with intensional contexts property abstracts (infinitive and gerundive phrases) and proposition abstracts (‘that’-clauses) and those dealing with predication (or instantiation) relations. The first is deemed to be epistemologically more primary, for “the argument from intensional logic” is perhaps the best argument for the existence of properties. This argument is presented in the course of discussing generality, quantifying-in, learnability, referential semantics, nominalism, conceptualism, realism, type-freedom, the first-order/higher-order controversy, names, indexicals, descriptions, Mates’ puzzle, and the paradox of analysis. Two first-order intensional logics are then formulated. Finally, fixed-point type-free theories of predication are discussed, especially their relation to the question whether properties may be identified with propositional functions.

The paper begins with a clarification of the notions of intuition (and, in particular, modal intuition), modal error, conceivability, metaphysical possibility, and epistemic possibility. It is argued that two-dimensionalism is the wrong framework for modal epistemology and that a certain nonreductionist approach to the theory of concepts and propositions is required instead. Finally, there is an examination of moderate rationalism’s impact on modal arguments in the philosophy of mind -- for example, Yablo’s disembodiment argument and Chalmers’s zombie argument. A less vulnerable style of modal argument is defended, which nevertheless wins the same anti-materialist conclusions sought by these other arguments.

Ontological functionalism's defining tenet is that mental properties can be defined wholly in terms of the general pattern of interaction of ontologically prior realizations. Ideological functionalism's defining tenet is that mental properties can only be defined nonreductively, in terms of the general pattern of their interaction with one another. My Self-consciousness Argument establishes: ontological functionalism is mistaken because its proposed definitions wrongly admit realizations into the contents of self-consciousness; ideological functionalism is the only viable alternative for functionalists. Michael Tooley's critique misses the target: he offers no criticism of - except for an incidental, and incorrect, attack on certain self-intimation principles - and, since he himself proposes a certain form of nonreductive definition, he tacitly accepts. Finally, as with all other nonreductive definitions, Tooley's proposal can be shown to undermine functionalism's ultimate goal: its celebrated materialist solution to the Mind-Body Problem. The explanation of these points will require a discussion of: Frege-Russell disagreements regarding intensional contexts; the relationship between self-consciousness and the traditional doctrine of acquaintance; the role of self-intimation principles in functionalist psychology; and the Kripke-Lewis controversy over the nature of theoretical terms.

The topic of a priori knowledge is approached through the theory of evidence. A shortcoming in traditional formulations of moderate rationalism and moderate empiricism is that they fail to explain why rational intuition and phenomenal experience count as basic sources of evidence. This explanatory gap is filled by modal reliabilism -- the theory that there is a qualified modal tie between basic sources of evidence and the truth. This tie to the truth is then explained by the theory of concept possession: this tie is a consequence of what, by definition, it is to possess (i.e., to understand) one’s concepts. A corollary of the overall account is that the a priori disciplines (logic, mathematics, philosophy) can be largely autonomous from the empirical sciences.

Recent work in philosophy of language has raised significant problems for the traditional theory of propositions, engendering serious skepticism about its general workability. These problems are, I believe, tied to fundamental misconceptions about how the theory should be developed. The goal of this paper is to show how to develop the traditional theory in a way which solves the problems and puts this skepticism to rest. The problems fall into two groups. The first has to do with reductionism, specifically attempts to reduce propositions to extensional entities-either extensional functions or sets. The second group concerns problems of fine grained content-both traditional 'Cicero'/'Tully' puzzles and recent variations on them which confront scientific essentialism. After characterizing the problems, I outline a non-reductionist approach-the algebraic approach-which avoids the problems associated with reductionism. I then go on to show how the theory can incorporate non-Platonic (as well as Platonic) modes of presentation. When these are implemented nondescriptively, they yield the sort of fine-grained distinctions which have been eluding us. The paper closes by applying the theory to a cluster of remaining puzzles, including a pair of new puzzles facing scientific essentialism.

Functionalism would be mistaken if there existed a system of deviant relations (an “anti-mind”) that had the same functional roles as the standard mental relations. In this paper such a system is constructed, using “Quinean transformations” of the sort associated with Quine’s thesis of the indeterminacy of translation. For example, a mapping m from particularistic propositions (e.g., that there exists a rabbit) to universalistic propositions (that rabbithood is manifested). Using m, a deviant relation thinking* is defined: x thinks* p iff x thinks m(p). Such deviant relations satisfy the commonly discussed functionalist psychological principles. Finally, a more complicated system of deviant relations is constructed, one satisfying sophisticated principles dealing with the self-conscious rational mind.

This paper begins with a brief summary of the Self-consciousness Argument, developed in the author’s paper “Self-consciousness.” (This argument is designed to refute the extant versions of functionalism -- American functionalism, Australian functionalism, and language-of-thought functionalism.) After this summary is given, two thesis are defended. The first is that the Self-consciousness Argument is not guilty of a Fregean equivocation regarding embedded occurrences of mental predicates, as has been suggested by many commentators, including Mark McCullagh. The second thesis is that the Self-consciousness Argument cannot be avoided by weakening the psychological theory upon which Ramsified functional definitions are based. Specifically, it does no good to excise psychological principles involving embedded mental predicates. Why? Because functional definitions based on the resulting sparse theories are exposed to an interesting new family of counterexamples.

This is the only complete logic for properties, relations, and propositions (PRPS) that has been formulated to date. First, an intensional abstraction operation is adjoined to first-order quantifier logic, Then, a new algebraic semantic method is developed. The heuristic used is not that of possible worlds but rather that of PRPS taken at face value. Unlike the possible worlds approach to intensional logic, this approach yields a logic for intentional (psychological) matters, as well as modal matters. At the close of the paper, the origin of incompleteness in logic is investigated. The culprit is found to be the predication relation, a relation on properties and relations that is expressed in natural language by the copula.

Self-consciousness constitutes an insurmountable obstacle to functionalism. Either the standard functional definitions of mental relations wrongly require the contents of self-consciousness to be propositions involving “realizations” rather than mental properties and relations themselves. Or else these definitions are circular. The only way to save functional definitions is to expunge the standard functionalist requirement that mental properties be second-order and to accept that they are first-order. But even the resulting “ideological” functionalism, which aims only at conceptual clarification, fails unless it incorporates the thesis that the mental properties are fully “natural” universals. Accordingly, mental properties are sui generis: first-order, nonphysical, natural universals.

Revised and reprinted in Handbook of Philosophical Logic, volume 10, Dov Gabbay and Frans Guenthner (eds.), Dordrecht: Kluwer, (2003). -- Two sorts of property theory are distinguished, those dealing with intensional contexts property abstracts (infinitive and gerundive phrases) and proposition abstracts (‘that’-clauses) and those dealing with predication (or instantiation) relations. The first is deemed to be epistemologically more primary, for “the argument from intensional logic” is perhaps the best argument for the existence of properties. This argument is presented in the course of discussing generality, quantifying-in, learnability, referential semantics, nominalism, conceptualism, realism, type-freedom, the first-order/higher-order controversy, names, indexicals, descriptions, Mates’ puzzle, and the paradox of analysis. Two first-order intensional logics are then formulated. Finally, fixed-point type-free theories of predication are discussed, especially their relation to the question whether properties may be identified with propositional functions.

It is argued that, because of scientific essentialism, two currently popular arguments against the mind-body identity thesis -- the multiple-realizability argument and the Nagel-Jackson knowledge argument -- are unsatisfactory as they stand and that their problems are incurable. It is then argued that a refutation of the identity thesis in its full generality can be achieved by weaving together two traditional Cartesian arguments -- the modal argument and the certainty argument. This argument establishes, not just the falsity of the identity thesis, but also the metaphysical possibility of disembodiment.

Radical empiricism is the view that a person's experiences (sensory and introspective), or a person's observations, constitute the person's evidence. This view leads to epistemic self-defeat. There are three arguments, concerning respectively: (1) epistemic starting points; (2) epistemic norms; (3) terms of epistemic appraisal. The source of self-defeat is traced to the fact that empiricism does not count a priori intuition as evidence (where a priori intuition is not a form of belief but rather a form of seeming, specifically intellectual as opposed to sensory). Moderate rationalism, by contrast, avoids self-defeat.